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Simplifying 5(-2 + -3x) = -33 + 8x (-2 * 5 + -3x * 5) = -33 + 8x (-10 + -15x) = -33 + 8x Solving -10 + -15x = -33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + -15x + -8x = -33 + 8x + -8x Combine like terms: -15x + -8x = -23x -10 + -23x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -23x = -33 + 0 -10 + -23x = -33 Add '10' to each side of the equation. -10 + 10 + -23x = -33 + 10 Combine like terms: -10 + 10 = 0 0 + -23x = -33 + 10 -23x = -33 + 10 Combine like terms: -33 + 10 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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